Washer method = {* {[)]*[8w]*}dy '= [*n{[w]*[8]'}dy_V= {* {[f(x)]*[8(x)]*} dx 1. Determine the volume of the...

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Washer method = {* {[)]*[8w]*}dy '= [*n{[w]*[8]'}dy_V= {* {[f(x)]*[8(x)]*} dx\ 1. Determine the volume of the solid obtained by rotating the region bounded by y=x-4x+5, x=1, x=4, and the x-axis about the x-axis. 2. Determine the volume of the solid obtained by rotating the portion of the region bounded by y=(x)1/3 and y=x/4 that lies in the first quadrant about the y-axis. 3. Determine the volume of the solid obtained by rotating the region bounded by y=x-2x and y=x about the line y=4. 2 1 0 0 ly-4 --2x 4. Determine the volume of the solid obtained by rotating the region bounded by y=2(x-1)1/2 and y-x-1 about the line x=-1. 0 1 2 3 4 -7-6-5-4-2-10123 Washer method = {* {[)]*[8w]*}dy '= [*n{[w]*[8]'}dy_V= {* {[f(x)]*[8(x)]*} dx\ 1. Determine the volume of the solid obtained by rotating the region bounded by y=x-4x+5, x=1, x=4, and the x-axis about the x-axis. 2. Determine the volume of the solid obtained by rotating the portion of the region bounded by y=(x)1/3 and y=x/4 that lies in the first quadrant about the y-axis. 3. Determine the volume of the solid obtained by rotating the region bounded by y=x-2x and y=x about the line y=4. 2 1 0 0 ly-4 --2x 4. Determine the volume of the solid obtained by rotating the region bounded by y=2(x-1)1/2 and y-x-1 about the line x=-1. 0 1 2 3 4 -7-6-5-4-2-10123